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160. Use the method of shells to find the volume of an ellipsoid (x²la?) + (y²lb²) = 1 rotated around the х-ахis. b

160. Use the method of shells to find the volume of an ellipsoid (x²la?) + (y²lb²) = 1 rotated around the х-ахis. b

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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need help with #160, thank you

**160**. Use the method of shells to find the volume of an ellipsoid \(\left(\frac{x^2}{a^2}\right) + \left(\frac{y^2}{b^2}\right) = 1\) rotated around the x-axis. *Diagram Explanation*: The left diagram shows an ellipsoid with semi-major axis \(a\) and semi-minor axis \(b\), with the axes labeled. To the right is a 3D illustration of the ellipsoid. **161**. Use the method of shells to find the volume of a cylinder with radius \(r\) and height \(h\). *Diagram Explanation*: The left diagram depicts a cylinder labeled with radius \(r\) and height \(h\). To the right, there is a 3D depiction of a red cylindrical candle with a wick on top.
Transcribed Image Text:**160**. Use the method of shells to find the volume of an ellipsoid \(\left(\frac{x^2}{a^2}\right) + \left(\frac{y^2}{b^2}\right) = 1\) rotated around the x-axis. *Diagram Explanation*: The left diagram shows an ellipsoid with semi-major axis \(a\) and semi-minor axis \(b\), with the axes labeled. To the right is a 3D illustration of the ellipsoid. **161**. Use the method of shells to find the volume of a cylinder with radius \(r\) and height \(h\). *Diagram Explanation*: The left diagram depicts a cylinder labeled with radius \(r\) and height \(h\). To the right, there is a 3D depiction of a red cylindrical candle with a wick on top.
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